Atkin-Lehner |
3- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249i |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3200592452211 = 33 · 7 · 118 · 79 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79937,-8705250] |
[a1,a2,a3,a4,a6] |
j |
56489481401828306833/3200592452211 |
j-invariant |
L |
1.7035908227456 |
L(r)(E,1)/r! |
Ω |
0.28393180379094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54747h4 127743e4 |
Quadratic twists by: -3 -7 |